Greatest Common Factor of 5428 and 5431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5428, 5431 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5428 and 5431 is 1.

GCF(5428,5431) = 1

GCF of 5428 and 5431

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5428 and 5431

GCF of 5428 and 5431 is 1

Prime Factorization of 5428


2 5428
2 2714
23 1357
59 59
1

Prime factors of 5428 are 2,23,59. Prime factorization of 5428 in exponential form is:

5428 = 22×231×591

Prime Factorization of 5431


5431 5431
1

Prime factors of 5431 are 5431. Prime factorization of 5431 in exponential form is:

5431 = 54311

∴ So by taking common prime factors GCF of 5428 and 5431 is 1

Greatest Common Factor of 5428 and 5431 by matching factors method

Factors of 5428

List of positive integer factors of 5428 that divides 5428 without a remainder.

1,2,4,23,46,59,92,118,236,1357,2714,5428

Factors of 5431

List of positive integer factors of 5431 that divides 5431 without a remainder.

1,5431

Greatest Common Factor

We found the factors and prime factorization of 5428 and 5431. The biggest common factor number is the GCF number.
So the greatest common factor 5428 and 5431 is 1.

Also check out the Least Common Multiple of 5428 and 5431

Properties of GCF 5428 and 5431

(i) The GCF of 5428 and 5431 is associative

GCF of 5428 and 5431 = GCF of 5431 and 5428

Related Greatest Common Factor of 5428

Related Greatest Common Factor of 5431

Frequently Asked Questions on GCF of 5428 and 5431

1. What is the GCF of 5428 and 5431?

Answer: GCF of 5428 and 5431 is 1.

2. What are the Factors of 5428?

Answer: Factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428. There are 12 integers that are factors of 5428. The greatest factor of 5428 is 5428.

3. What are the Factors of 5431?

Answer: Factors of 5431 are 1, 5431. There are 2 integers that are factors of 5431. The greatest factor of 5431 is 5431.

4. How to Find the GCF of 5428 and 5431?

Answer:

Greatest Common Factor of 5428 and 5431 = 1

Step 1: Find the prime factorization of 5428

5428 = 2 x 2 x 23 x 59

Step 2: Find the prime factorization of 5431

5431 = 5431

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 5428 and 5431 is 1